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Exam Details

WB JEE 2010

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Questions 90
Duration 60 mins
Package WB JEE- Previous Year Papers

Paper pattern & analysis

Filter this paper by subject, topic or subtopic. Every graph updates from the selected questions.

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Showing all 90 questions in this paper.

Subject distribution

Mathematics
90 Qs

Topic distribution

Calculus
40 Qs
Algebra
28 Qs
Trigonometry
12 Qs
Coordinate Geometry
10 Qs

Subtopic distribution

Limits Continuity And Differentiability
10 Qs
Differential Equations
9 Qs
Trigonometric Functions And Equations
7 Qs
Definite Integration
6 Qs
Sequence And Series
6 Qs
Application Of Derivatives
5 Qs
Straight Lines And Pair Of Straight Lines
5 Qs
Matrices And Determinants
4 Qs
Binomial Theorem
4 Qs
Properties Of Triangle
4 Qs
Indefinite Integrals
4 Qs
Sets And Relations
3 Qs

Difficulty distribution

Not classified 90 100%

Question type distribution

Multiple Choices 80 88.9%
Subjective 10 11.1%

Sample questions from this paper

Questions are selected across the paper subjects wherever the paper contains that variety.

1
2010 · Mathematics · Algebra · Matrices And Determinants
WB JEE 2010

If A, B are two square matrices such that AB = A and BA = B, then prove that B2 = B.

Write your response
2
2010 · Mathematics · Trigonometry · Trigonometric Functions And Equations
WB JEE 2010

Prov that the equation \(\cos 2x + a\sin x = 2a - 7\) possesses a solution if 2 \(\le\) a \(\le\) 6.

Write your response
3
2010 · Mathematics · Calculus · Limits Continuity And Differentiability
WB JEE 2010

Use the formula \(\mathop {\lim }\limits_{x \to 0} {{{a^x} - 1} \over x} = {\log _e}a\), to compute \(\mathop {\lim }\limits_{x \to 0} {{{2^x} - 1} \over {\sqrt {1 + x} - 1}}\).

Write your response
4
2010 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
WB JEE 2010

The straight line 3x + y = 9 divides the line segment joining the points (1, 3) and (2, 7) in the ratio

A
3 : 4 externally
B
3 : 4 internally
C
4 : 5 internally
D
5 : 6 externally
5
2010 · Mathematics · Algebra · Sets And Relations
WB JEE 2010

Let R be the set of real numbers and the mapping f : R \(\to\) R and g : R \(\to\) R be defined by f(x) = 5 \(-\) x2 and g(x) = 3x \(-\) 4, then the value of (fog)(\(-\)1) is

A
\(-\) 44
B
\(-\) 54
C
\(-\) 32
D
\(-\) 64
6
2010 · Mathematics · Trigonometry · Trigonometric Functions And Equations
WB JEE 2010

Find the values of x, (\(-\) \(\pi\), < x < \(\pi\), x \(\ne\) 0) satisfying the equation, \({8^{1 + |\cos x| + |{{\cos }^2}x| + ......\infty }} = {4^3}\).

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